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Finding the Third Proportional to 634,470 and 1,373,484

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Solution

The third proportional to 634,470 and 1,373,484 is: 2,973,282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,470 : 1,373,484 = 1,373,484 : x
  2. Step 2: Convert to fraction form
    634,470/1,373,484 = 1,373,484/x
  3. Step 3: Cross multiply
    634,470x = 1,373,484 × 1,373,484
  4. Step 4: Simplify right side
    634,470x = 1,886,458,298,256
  5. Step 5: Solve for x
    x = 1,886,458,298,256/634,470
  6. Step 6: Final answer
    x = 2,973,282.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.